Question

Для кодирования значений температуры воздуха (целое число в интервале от –50 до 40) используется двоичный код. Какова минимальная длина двоичного кода? Объясните подробно

Answer 1

Минимальная длина двоичного кода-7. N=2^i, где N-количество вариантов В данном случае, N=40-(-50)=90 2^6=64, 2^7=128. 90 находится между этими двумя степенями, показатель степени всегда целое число. Округляется в большую сторону. Если помог, то оцени ответ и отметь его лучшим

Answer 2

Minimum Length of Binary Code for Encoding Air Temperature Values

To encode air temperature values using a binary code, we need to determine the minimum length of the binary code required. The given temperature range is from -50 to 40 degrees Celsius.

Unfortunately, the search results provided by You.com do not directly answer the question about the minimum length of the binary code. However, we can still provide an explanation based on our knowledge of binary coding.

In binary coding, each digit is represented by a bit, which can be either 0 or 1. To represent a range of values, we need to use a sufficient number of bits to cover all possible values within that range.

To determine the minimum length of the binary code, we need to calculate the number of unique values within the given temperature range. In this case, the range is from -50 to 40, which includes 91 unique values (-50, -49, -48, ..., 40).

To represent 91 unique values, we need at least 7 bits because 2^7 = 128, which is greater than 91. Using 7 bits, we can represent values from 0 to 127. However, since we only need to represent values from -50 to 40, we can use a 7-bit binary code with an offset of 50. This means that we subtract 50 from the actual temperature value and encode the result using the 7-bit binary code.

Therefore, the minimum length of the binary code required to encode air temperature values in the range of -50 to 40 degrees Celsius is 7 bits.

Please note that the search results provided by You.com did not directly answer the question about the minimum length of the binary code. The explanation provided above is based on general knowledge of binary coding principles.